Dieter Klop says Bayern are ready to make a move for Turan if they sell French star Franck Ribery this summer.
Reports claim Bayern are ready to make a €11million bid for the Turkish international.
Juventus, Genoa, Manchester City, Arsenal and Tottenham have also been linked with a move for Turan.
“I was born in Istanbul and I have always supported Galatasaray,” Turan said.
“I came through the youth academy and, aside from a loan spell at Vestel Manisapor, I have always worn these colours.
“My dream is to end my career here and wear the captain’s armband. I would only leave if the club told me that my departure was necessary to balance the books.”